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Finding the Fourth Proportional to 38,614.71, 53,272.45 and 23,495.25

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Solution

The fourth proportional to 38,614.71, 53,272.45 and 23,495.25 is: 32,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.71 : 53,272.45 = 23,495.25 : x
  2. Step 2: Convert to fraction form
    38,614.71/53,272.45 = 23,495.25/x
  3. Step 3: Cross multiply
    38,614.71x = 53,272.45 × 23,495.25
  4. Step 4: Simplify right side
    38,614.71x = 1,251,649,530.86
  5. Step 5: Solve for x
    x = 1,251,649,530.86/38,614.71
  6. Step 6: Final answer
    x = 32,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.